{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PCA for Algorithmic Trading: Data-Driven Risk Factors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "PCA is useful for algorithmic trading in several respects. These include the data-driven derivation of risk factors by applying PCA to asset returns, and the construction of uncorrelated portfolios based on the principal components of the correlation matrix of asset returns."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In [Chapter 07 - Linear Models](../../07_linear_models), we explored risk factor models used in quantitative finance to capture the main drivers of returns. These models explain differences in returns on assets based on their exposure to systematic risk factors and the rewards associated with these factors. \n",
    "\n",
    "In particular, we explored the Fama-French approach that specifies factors based on prior knowledge about the empirical behavior of average returns, treats these factors as observable, and then estimates risk model coefficients using linear regression. An alternative approach treats risk factors as latent variables and uses factor analytic techniques like PCA to simultaneously estimate the factors and how the drive returns from historical returns.\n",
    "\n",
    "In this section, we will review how this method derives factors in a purely statistical or data-driven way with the advantage of not requiring ex-ante knowledge of the behavior of asset returns."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports & Settings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:13:29.843711Z",
     "start_time": "2020-06-18T14:13:29.841919Z"
    }
   },
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:13:30.363247Z",
     "start_time": "2020-06-18T14:13:29.845209Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import warnings\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from sklearn.decomposition import PCA\n",
    "from matplotlib.ticker import FuncFormatter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:13:30.367292Z",
     "start_time": "2020-06-18T14:13:30.364745Z"
    }
   },
   "outputs": [],
   "source": [
    "sns.set_style('whitegrid')\n",
    "np.random.seed(42)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Get returns for equities with highest market cap"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use the Quandl stock price data and select the daily adjusted close prices the 500 stocks with the largest market capitalization and data for the 2010-2018 period. We then compute the daily returns as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:13:37.139926Z",
     "start_time": "2020-06-18T14:13:30.368656Z"
    }
   },
   "outputs": [],
   "source": [
    "idx = pd.IndexSlice\n",
    "with pd.HDFStore('../../data/assets.h5') as store:\n",
    "    stocks = store['us_equities/stocks'].marketcap.nlargest(500)\n",
    "    returns = (store['quandl/wiki/prices']\n",
    "               .loc[idx['2010': '2018', stocks.index], 'adj_close']\n",
    "               .unstack('ticker')\n",
    "               .pct_change())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We obtain 351 stocks and returns for over 2,000 trading days:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:13:37.154556Z",
     "start_time": "2020-06-18T14:13:37.140799Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 2072 entries, 2010-01-04 to 2018-03-27\n",
      "Columns: 351 entries, A to CBRE\n",
      "dtypes: float64(351)\n",
      "memory usage: 5.6 MB\n"
     ]
    }
   ],
   "source": [
    "returns.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Winsorize & standardize returns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "PCA is sensitive to outliers so we winsorize the data at the 2.5% and 97.5% quantiles, respectively:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:13:37.513214Z",
     "start_time": "2020-06-18T14:13:37.155722Z"
    }
   },
   "outputs": [],
   "source": [
    "returns = returns.clip(lower=returns.quantile(q=.025),\n",
    "                       upper=returns.quantile(q=.975),\n",
    "                       axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Impute missing values"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "PCA does not permit missing data, so we will remove stocks that do not have data for at least 95% of the time period, and in a second step remove trading days that do not have observations on at least 95% of the remaining stocks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:13:37.532899Z",
     "start_time": "2020-06-18T14:13:37.515324Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 2071 entries, 2010-01-05 to 2018-03-27\n",
      "Columns: 315 entries, A to LYB\n",
      "dtypes: float64(315)\n",
      "memory usage: 5.0 MB\n"
     ]
    }
   ],
   "source": [
    "returns = returns.dropna(thresh=int(returns.shape[0] * .95), axis=1)\n",
    "returns = returns.dropna(thresh=int(returns.shape[1] * .95))\n",
    "returns.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are left with 315 equity return series covering a similar period."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We impute any remaining missing values using the average return for any given trading day:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:13:37.628378Z",
     "start_time": "2020-06-18T14:13:37.534002Z"
    }
   },
   "outputs": [],
   "source": [
    "daily_avg = returns.mean(1)\n",
    "returns = returns.apply(lambda x: x.fillna(daily_avg))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fit PCA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we are ready to fit the principal components model to the asset returns using default parameters to compute all components using the full SVD algorithm:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:13:37.660485Z",
     "start_time": "2020-06-18T14:13:37.629228Z"
    }
   },
   "outputs": [],
   "source": [
    "cov = np.cov(returns, rowvar=False) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:13:46.852946Z",
     "start_time": "2020-06-18T14:13:37.661598Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA(n_components='mle')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA(n_components='mle')\n",
    "pca.fit(returns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visualize Explained Variance"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We find that the most important factor explains around 30% of the daily return variation. The dominant factor is usually interpreted as ‘the market’, whereas the remaining factors can be interpreted as industry or style factors in line with our discussion in chapters 5 and 7, depending on the results of closer inspection (see next example). \n",
    "\n",
    "The plot on the right shows the cumulative explained variance and indicates that around 10 factors explain 60% of the returns of this large cross-section of stocks.  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The cumulative plot shows a typical 'elbow' pattern that can help identify a suitable target dimensionality because it indicates that additional components add less explanatory value."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:13:47.257866Z",
     "start_time": "2020-06-18T14:13:46.854109Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(ncols=2, figsize=(14, 4))\n",
    "title = 'Explained Variance Ratio by Top Factors'\n",
    "var_expl = pd.Series(pca.explained_variance_ratio_)\n",
    "var_expl.index += 1\n",
    "var_expl.iloc[:15].sort_values().plot.barh(title=title,\n",
    "                                           ax=axes[0])\n",
    "var_expl.cumsum().plot(ylim=(0, 1),\n",
    "                       ax=axes[1],\n",
    "                       title='Cumulative Explained Variance',\n",
    "                       xlim=(1, 300))\n",
    "axes[1].yaxis.set_major_formatter(FuncFormatter(lambda y, _: f'{y:.0%}'))\n",
    "sns.despine()\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:13:47.274847Z",
     "start_time": "2020-06-18T14:13:47.259371Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 2071 entries, 2010-01-05 to 2018-03-27\n",
      "Data columns (total 2 columns):\n",
      " #   Column                 Non-Null Count  Dtype  \n",
      "---  ------                 --------------  -----  \n",
      " 0   Principal Component 1  2071 non-null   float64\n",
      " 1   Principal Component 2  2071 non-null   float64\n",
      "dtypes: float64(2)\n",
      "memory usage: 48.5 KB\n"
     ]
    }
   ],
   "source": [
    "risk_factors = pd.DataFrame(pca.transform(returns)[:, :2], \n",
    "                            columns=['Principal Component 1', 'Principal Component 2'], \n",
    "                            index=returns.index)\n",
    "risk_factors.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can select the top two principal components to verify that they are indeed uncorrelated:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:13:47.279504Z",
     "start_time": "2020-06-18T14:13:47.275830Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.396594770335e-15"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "risk_factors['Principal Component 1'].corr(risk_factors['Principal Component 2'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Moreover, we can plot the time series to highlight how each factor captures different volatility patterns."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:13:47.697213Z",
     "start_time": "2020-06-18T14:13:47.280437Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with sns.axes_style('white'):\n",
    "    risk_factors.plot(subplots=True,\n",
    "                      figsize=(14, 8),\n",
    "                      title=risk_factors.columns.tolist(),\n",
    "                      legend=False,\n",
    "                      rot=0,\n",
    "                      lw=1,\n",
    "                      xlim=(risk_factors.index.min(),\n",
    "                            risk_factors.index.max()))\n",
    "\n",
    "    sns.despine()\n",
    "    plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A risk factor model would employ a subset of the principal components as features to predict future returns, similar to our approach in chapter 7."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulation for larger number of stocks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:13:51.573100Z",
     "start_time": "2020-06-18T14:13:47.698264Z"
    }
   },
   "outputs": [],
   "source": [
    "idx = pd.IndexSlice\n",
    "with pd.HDFStore('../../data/assets.h5') as store:\n",
    "    returns = (store['quandl/wiki/prices']\n",
    "              .loc[idx['2000': '2018', :], 'adj_close']\n",
    "              .unstack('ticker')\n",
    "              .pct_change())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:14:47.201970Z",
     "start_time": "2020-06-18T14:13:51.573915Z"
    }
   },
   "outputs": [],
   "source": [
    "pca = PCA()\n",
    "n_trials, n_samples = 100, 500\n",
    "explained = np.empty(shape=(n_trials, n_samples))\n",
    "for trial in range(n_trials):\n",
    "    returns_sample = returns.sample(n=n_samples)\n",
    "    returns_sample = returns_sample.dropna(thresh=int(returns_sample.shape[0] * .95), axis=1)\n",
    "    returns_sample = returns_sample.dropna(thresh=int(returns_sample.shape[1] * .95))\n",
    "    daily_avg = returns_sample.mean(1)\n",
    "    returns_sample = returns_sample.apply(lambda x: x.fillna(daily_avg))\n",
    "    pca.fit(returns_sample)\n",
    "    explained[trial, :len(pca.components_)] = pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:14:47.225461Z",
     "start_time": "2020-06-18T14:14:47.202943Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 100 entries, 0 to 99\n",
      "Columns: 500 entries, 1 to 500\n",
      "dtypes: float64(500)\n",
      "memory usage: 390.8 KB\n"
     ]
    }
   ],
   "source": [
    "explained = pd.DataFrame(explained, columns=list(range(1, explained.shape[1] + 1)))\n",
    "explained.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:14:47.880273Z",
     "start_time": "2020-06-18T14:14:47.226497Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x324 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(ncols=2, figsize=(14, 4.5))\n",
    "pc10 = explained.iloc[:, :10].stack().reset_index()\n",
    "pc10.columns = ['Trial', 'Principal Component', 'Value']\n",
    "\n",
    "pc10['Cumulative'] = pc10.groupby('Trial').Value.transform(np.cumsum)\n",
    "sns.barplot(x='Principal Component', y='Value', data=pc10, ax=axes[0])\n",
    "sns.lineplot(x='Principal Component', y='Cumulative', data=pc10, ax=axes[1])\n",
    "axes[1].set_xlim(1, 10)\n",
    "axes[1].yaxis.set_major_formatter(FuncFormatter(lambda y, _: f'{y:.0%}'))\n",
    "fig.suptitle('Explained Variance of Top 10 Principal Components | 100 Trials')\n",
    "sns.despine()\n",
    "fig.tight_layout()\n",
    "fig.subplots_adjust(top=.90)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": true,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
